SATHEE: Quantitative Aptitude Ques 2141

Quantitative Aptitude Ques 2141

Question: A, B and C are three pipe- connected to a tank, A and B together fill the tank in 6 h, B and C together fill the tank m 10 h and A and C together fill the tank in 12 h. In how much time A, B and C fill up the tank together?

Options:

A) $ 9h $

B) $ 5\frac{3}{7}h $

C) $ 5\frac{2}{7}h $

D) $ 5\frac{5}{7}h $

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

Pan filled by (A + B) in 1 h $ =\frac{1}{6} $ Part tilted by (B + C) in 1 h $ =\frac{1}{10} $ Part filled by (A + C) in 1 h $ =\frac{1}{12} $

$ \therefore $ Part filled by 2 (A + B + C) in 1 h $ =\frac{1}{6}+\frac{1}{10}+\frac{1}{12} $ $ =\frac{10+6+5}{60}=\frac{21}{60}=\frac{7}{20} $

$ \therefore $ Part filled by (A + B+ C) in 1 h $ =\frac{7}{2\times 20}=\frac{7}{40} $

$ \therefore $ $ =\frac{40}{7}=5\frac{5}{7}h $

Quantitative Aptitude Ques 2140

Quantitative Aptitude Ques 2142

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